Question

O valor de x tal que (4x - 1)/2 = (-2x +1)/3

a) 0
b) 3
c) 5/16
d) 16/5
e) -2

Answer 1

Alternativa c) 5/16
$\frac{4x-1}{2} = \frac{-2x+1}{3} \\ \\ \frac{4x-1}{2} - \frac{-2x+1}{3} = 0 \\ \\ \frac{3.(4x-1)}{3.2} - \frac{2(-2x+1)}{2.3} =0 \\ \\ \frac{12x-3}{6} - \frac{-4x+2}{6} =0 \\ \\ 12x-3 -(-4x+2)=0 \\ \\ 12x-3 +4x-2=0 \\ \\ 16x-5=0 \\ \\ 16x=5 \\ \\ x= \frac{5}{16}$